Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
338 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 121 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #10622705 | C2 | semidirect |
| 4. #10622695 | C2 | semidirect |
| 5. #10622682 | C2 | semidirect |
| 6. #10622677 | C2 | semidirect |
| 9. #10622643 | C2 | semidirect |
| 10. C4×#4326 | C2 | semidirect |
| 170. C11 | #3177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C11×#541 | 2 |
| #10623049 | 2 |
| #10622705 | 2 |
| #10622695 | 2 |
| #10622682 | 2 |
| #10622677 | 2 |
| #10622665 | 2 |
| #10622664 | 2 |
| #10622643 | 2 |
| C4×#4326 | 2 |
| #10622610 | 2 |
| #3177 | 11 |